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21414124100 = 22521345715913
BaseRepresentation
bin10011111100011000…
…011001101001000100
32001021101110012211102
4103330120121221010
5322324003432400
613500522555232
71355443023455
oct237430315104
961241405742
1021414124100
119099795426
124197668b18
132033660165
14107203312c
15854ea09d5
hex4fc619a44

21414124100 has 36 divisors (see below), whose sum is σ = 46475022804. Its totient is φ = 8564474880.

The previous prime is 21414124093. The next prime is 21414124139. The reversal of 21414124100 is 142141412.

It can be written as a sum of positive squares in 6 ways, for example, as 3418974784 + 17995149316 = 58472^2 + 134146^2 .

It is a Harshad number since it is a multiple of its sum of digits (20).

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 1337744 + ... + 1353656.

Almost surely, 221414124100 is an apocalyptic number.

21414124100 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

21414124100 is an abundant number, since it is smaller than the sum of its proper divisors (25060898704).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

21414124100 is a wasteful number, since it uses less digits than its factorization.

21414124100 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 29384 (or 29377 counting only the distinct ones).

The product of its (nonzero) digits is 256, while the sum is 20.

Adding to 21414124100 its reverse (142141412), we get a palindrome (21556265512).

The spelling of 21414124100 in words is "twenty-one billion, four hundred fourteen million, one hundred twenty-four thousand, one hundred".

Divisors: 1 2 4 5 10 20 25 50 100 13457 15913 26914 31826 53828 63652 67285 79565 134570 159130 269140 318260 336425 397825 672850 795650 1345700 1591300 214141241 428282482 856564964 1070706205 2141412410 4282824820 5353531025 10707062050 21414124100